Should I chase him or should I play "The Game"?

I am not shy and very upfront. I met a man online and we chatted and texted and talked and then he asked to meet me. We met and it was completely cool -- so much in common like obscure music and books, same thoughts on faith and politics. He kissed me when we parted and continues to text me every so often and Facebook me. I want to chase him -- he occupies my thoughts daily. Honestly, should I chase or play The Game of waiting for him to make the move? Is it desperate and stalker-ish to chase him? Should I ask him directly what his intentions are with me? I am too old to feel like I am being played but there has got to be something there. He does and says things that make me think he is interested. Or am I fooling myself?